Angelika wants to study how sixth graders perform in math exams. She obtains a list of all the districts in the state, randomly selects 5 percent of the districts, and administers achievement tests to all sixth graders in these districts. The sampling method used by Angelika is called sampling.

The correct answer is: Cluster.

Explanation:

Cluster sampling or a Cluster Sample is a method of sampling in research where the investigator divides the participants of his/her study into different groups.

These groups are known as clusters.

The analyses conducted by the researchers come from using participants picked randomly from the clusters.

In this particular case, Angelika wants to study how sixth graders perform in math exams. She obtains a list of all the districts in the state, randomly selects 5 percent of the districts, and administers achievement tests to all sixth graders in these districts. The sampling method used by Angelika is called Cluster sampling.

Cluster Sampling

Explanation:

In cluster sampling, instead of selecting all the subjects from the entire population right off, the researcher  gathers his sample population. Firstly, the researcher selects groups or clusters, and then from each cluster, the researcher selects the individual subjects by either simple random or systematic random sampling. Essentially, each cluster is a mini-representation of the entire population.  The researcher conducts his analysis on data from the sampled clusters. In the case of Angelika, all the districts are the clusters, the randomly selected 5% from the clusters are the samples upon which the achievement test is administered.

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